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Finding the Third Proportional to 99,723 and 215,103

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Solution

The third proportional to 99,723 and 215,103 is: 463,978.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,723 : 215,103 = 215,103 : x
  2. Step 2: Convert to fraction form
    99,723/215,103 = 215,103/x
  3. Step 3: Cross multiply
    99,723x = 215,103 × 215,103
  4. Step 4: Simplify right side
    99,723x = 46,269,300,609
  5. Step 5: Solve for x
    x = 46,269,300,609/99,723
  6. Step 6: Final answer
    x = 463,978.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.